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31442114205250 = 2537137325940241
BaseRepresentation
bin1110010011000101100000…
…00011000101011001000010
311010022211120222222211211121
413021202300003011121002
513110121422214032000
6150512150255302454
76423421621026610
oct711426003053102
9133284528884747
1031442114205250
11a022586858051
12363983851aa2a
131470c9511b1a8
147a9b40c6a6b0
15397d35341b1a
hex1c98b00c5642

31442114205250 has 128 divisors (see below), whose sum is σ = 67781641674240. Its totient is φ = 10697916672000.

The previous prime is 31442114205217. The next prime is 31442114205277. The reversal of 31442114205250 is 5250241124413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781325130 + ... + 781365370.

It is an arithmetic number, because the mean of its divisors is an integer number (529544075580).

Almost surely, 231442114205250 is an apocalyptic number.

31442114205250 is an abundant number, since it is smaller than the sum of its proper divisors (36339527468990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31442114205250 is a wasteful number, since it uses less digits than its factorization.

31442114205250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43661 (or 43651 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 31442114205250 its reverse (5250241124413), we get a palindrome (36692355329663).

The spelling of 31442114205250 in words is "thirty-one trillion, four hundred forty-two billion, one hundred fourteen million, two hundred five thousand, two hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 125 137 175 250 274 350 685 875 959 1370 1750 1918 3259 3425 4795 6518 6850 9590 16295 17125 22813 23975 32590 34250 40241 45626 47950 80482 81475 114065 119875 162950 201205 228130 239750 281687 402410 407375 446483 563374 570325 814750 892966 1006025 1140650 1408435 2012050 2232415 2816870 2851625 3125381 4464830 5030125 5513017 5703250 6250762 7042175 10060250 11026034 11162075 14084350 15626905 22324150 27565085 31253810 35210875 38591119 55130170 55810375 70421750 77182238 78134525 111620750 131145419 137825425 156269050 192955595 262290838 275650850 385911190 390672625 655727095 689127125 781345250 918017933 964777975 1311454190 1378254250 1836035866 1929555950 3278635475 4590089665 4823889875 6557270950 9180179330 9647779750 16393177375 17966922403 22950448325 32786354750 35933844806 45900896650 89834612015 114752241625 125768456821 179669224030 229504483250 251536913642 449173060075 628842284105 898346120150 1257684568210 2245865300375 3144211420525 4491730600750 6288422841050 15721057102625 31442114205250